Scaling relations between the structural properties of the MATLAS NSCs studied in this work (black open circles) compared to NSCs from the LV (blue dots), Virgo (orange triangles), and Fornax (red crosses) clusters, and located in LTGs (light blue crosses), using the structural parameter-based sample described in Sect. 6.1. Top: Effective radius as a function of the absolute magnitude in the V-band (left) and the stellar mass (right). We show the relation log R_e,NSC = −2.0−0.25 M${}_{\mathrm{V},\mathrm{NSC}}$ fitted by Georgiev & Böker (2014) (black line), R${}_{\mathrm{e}}\propto {\mathrm{M}}_{*}^{0.38}$ (black dashed line) found by Bekki et al. (2004), and R_e ∝ M_* (black dotted line) suggested by Turner et al. (2012). Bottom left: Ellipticity vs. the absolute magnitude in the V-band. Bottom right: Relation between the Sérsic index and the stellar mass. The dotted line indicates n = 6.